Question

The two base angles of a cyclic quadrilateral are 60 degree and 70 degree.Then find the other angles with a diagram.HP board class 9th.

Answer 1

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that

Sum of two opposite interior angle of cyclic quadrilateral=180°

<B +<D=180°

<B = 180°- <D.     (1)

And,

<B - <D=60°.     (2)

On putting equation (1) on equation (2) we get

(180°- <D)-<D=60°

180°-<D-<D=60°

-2<D=60°-180°

-2<D=-120°

<D=120°/2

<D=60°

And,

< B =180°- <D

< B=180°-60°

<B=120°

Hence,the smaller of the two is <D=60°.     proved

hope it helps you !